Optimal transport with some directed distances
Information Theory
2021-07-02 v1 math.IT
Probability
Machine Learning
Abstract
We present a toolkit of directed distances between quantile functions. By employing this, we solve some new optimal transport (OT) problems which e.g. considerably flexibilize some prominent OTs expressed through Wasserstein distances.
Keywords
Cite
@article{arxiv.2105.05989,
title = {Optimal transport with some directed distances},
author = {Wolfgang Stummer},
journal= {arXiv preprint arXiv:2105.05989},
year = {2021}
}
Comments
9 pages